Published June 2017 | Version v1
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Refined holonomic summation algorithms in particle physics

Creators

  • 1. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)
  • 2. Johannes Kepler Univ., Linz (Austria). Research Inst. for Symbolic Computation (RISC)

Description

An improved multi-summation approach is introduced and discussed that enables one to simultaneously handle indefinite nested sums and products in the setting of difference rings and holonomic sequences. Relevant mathematics is reviewed and the underlying advanced difference ring machinery is elaborated upon. The flexibility of this new toolbox contributed substantially to evaluating complicated multi-sums coming from particle physics. Illustrative examples of the functionality of the new software package RhoSum are given.

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Additional details

Publishing Information

Imprint Pagination
39 p.
ISSN
0418-9833
Report number
DESY--17-087

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
48080422
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ALGORITHMS; ANALYTIC FUNCTIONS; COMPUTER CALCULATIONS; FEYNMAN DIAGRAM; PERTURBATION THEORY; POWER SERIES; PROGRAMMING; QUANTUM FIELD THEORY; R CODES; RECURSION RELATIONS
Descriptors DEC
COMPUTER CODES; DIAGRAMS; FIELD THEORIES; FUNCTIONS; INFORMATION; MATHEMATICAL LOGIC; SERIES EXPANSION

Optional Information

Secondary number(s)
DO-TH--17-09